Researched dynamical systems and taught in fulfillment of a Ph.D. in Applied Mathematics

Performed research developing a minimum entropy clustering algorithm for fucntional data.

Found the first class of chaotic solutions to state-dependent differential delay equations.

Programmed a PID controller on a FPGA to stabilize the laser voltage about a fixed point.

Thesis establishing rigorous Hausdorff dimension bounds on conformal fractals, applying dynamical systems theory, thermodynamic formalism, and finite element methods.